Weigert, S. orcid.org/0000-0002-6647-3252 (1997) Baker - Campbell - Hausdorff relation for special unitary groups SU(N). Journal of Physics A: Mathematical and General. pp. 8739-8749. ISSN 0305-4470
Multiplication of two elements of the special unitary group SU(N) determines uniquely a third group element. A BAker-Campbell-Hausdorff relation is derived which expresses the group parameters of the product (written as an exponential) in terms of the parameters of the exponential factors. This requires the eigen- values of three (N-by-N) matrices. Consequently, the relation can be stated analytically up to N=4, in principle. Similarity transformations encoding the time evolution of quantum mechanical observables, for example, can be worked out by the same means.
|Copyright, Publisher and Additional Information:||© 1997 IOP Publishing Ltd. This is an author produced version of a paper published in Journal of Physics A: Mathematical and General.|
|Institution:||The University of York|
|Academic Units:||The University of York > Mathematics (York)|
|Depositing User:||Repository Officer|
|Date Deposited:||22 Jun 2006|
|Last Modified:||25 Oct 2016 17:55|